Skip to main content

SL3 (C[X]) does not have bounded word length

Part I

Part of the Lecture Notes in Mathematics book series (LNM,volume 966)

Keywords

  • Word Length
  • Elementary Matrice
  • Prime Field
  • Springer Lecture Note
  • Global Field

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. H. Bass and J. Tate, The Milnor ring of a global field, Algebraic K-theory II, Springer Lecture Notes 342, (1973), pp. 349–447.

    Google Scholar 

  2. D. Carter and G. Keller, Bounded word length in SLn(o), Preprint, University of Virginia.

    Google Scholar 

  3. P. M. Cohn, On the structure of the GL2 of a ring, Publ. Math. I.H.E.S. No. 33(1967), pp. 421–499.

    Google Scholar 

  4. H. W. Lenstra, Jr., K2 of a global field consists of symbols, Algebraic K-theory, Springer Lecture Notes 551 (1976), pp. 69–73.

    Google Scholar 

  5. J. Milnor, Introduction to Algebraic K-theory, Annals of Math. Studies 72, Princeton University Press, 1971.

    Google Scholar 

  6. T. A. Springer, A remark on the Milnor ring, Proceedings Koninkl. Nederl. Akademie van Wetenschappen Series A, 75, No. 2 = Indag. Math. 34, No. 2 (1972), pp. 100–102.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

van der Kallen, W. (1982). SL3 (C[X]) does not have bounded word length. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 966. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062183

Download citation

  • DOI: https://doi.org/10.1007/BFb0062183

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11965-4

  • Online ISBN: 978-3-540-39553-9

  • eBook Packages: Springer Book Archive